Realisations of Kummer-Chern-Eisenstein-Motives

Abstract

Inspired by the work of G. Harder (HaICM, HaLNM, HaMM) we construct via the motive of a Hilbert modular surface an extension of a Tate motive by a Dirichlet motive. We compute the realisation classes and indicate how this is linked to the Hodge-1-motive of the Hilbert modular surface.

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